83688421608 has 144 divisors (see below), whose sum is σ = 249295415460. Its totient is φ = 25343746560.

The previous prime is 83688421561. The next prime is 83688421681. The reversal of 83688421608 is 80612488638.

83688421608 is a `hidden beast` number, since 8 + 3 + 6 + 8 + 8 + 4 + 21 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62471003364 + 21217418244 = 249942^2 + 145662^2 .

It is a super-2 number, since 2×83688421608² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25724910 + ... + 25728162.

Almost surely, 2^83688421608 is an apocalyptic number.

83688421608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83688421608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124647707730).

83688421608 is an abundant number, since it is smaller than the sum of its proper divisors (165606993852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83688421608 is a wasteful number, since it uses less digits than its factorization.

83688421608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 83688421608 in words is "eighty-three billion, six hundred eighty-eight million, four hundred twenty-one thousand, six hundred eight".